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Motion In One And Two Dimensions

Videos

1. Projectile Motion

If a body is thrown upwards at an angle to the vertical, it follows a curved path
before returning to the same horizontal level. The body is called a projectile and
its path is called a trajectory. The motion of a projectile is two-dimensional,
which can be broken down into two component x- and y-motions. Can we apply the kinematic
equations to analyse such motion? How to find the displacement and velocity of the
projectile at a given instant? What is the maximum height reached? What is the horizontal
range, and how to maximise it? The video lecture “Projectile Motion”
answers some of these questions, and more.

2. Rest and Motion

3. Some Terms Associated with Translational Motion

4. Graphical Analysis of Rectilinear Motion

5. Rectilinear Motion with Constant Acceleration

6. Problems on Kinematic Equations

7. Analysis of Rectilinear Motion by Calculus

8. Kinematic Equations by Graphical Method

9. Kinematic Equations by Integration

Motion along a straight line with constant acceleration is governed by a handful
of formulas, generally referred to as kinematic equations. We can derive these equations
from some basic definitions, by graphical method, or by the method of integration.
This last method is the most elegant, although it requires application of elementary
calculus  something new to many students. The video lecture “Kinematic Equations
by Integration” introduces students to calculus first, and then derives the
said formulas.

10. Motion of Boat in a River

11. Relative Velocity and Relative Acceleration

12. Problems on Relative Velocity and Relative Acceleration

13. Rectilinear Motion under gravity

When a body is projected vertically upwards in vacuum or in an atmosphere of negligible
air resistance, the only force acting on it is the force of gravity. Can we apply
the well-known kinematic equations to analyse such motion? Should we take the upward
or downward direction as positive direction? What is the maximum height reached
by the body? For how long does it remain in flight? If air resistance is not negligible,
will the upward and downward flights be of same duration? The video lecture “Rectilinear
Motion under Gravity” answers some of these questions, and more.